Results 21 to 30 of about 1,197 (263)
Finding Minimal Units In Several Two-Fold Fuzzy Finite Neutrosophic Rings [PDF]
Neutrosophic Sets and SystemsIn this paper, we have defined the concept of minimal units in finite two-fold fuzzy neutrosophic rings modulo integers as a generalization of classical elements of the group of units of the mentioned neutrosophic rings.
Raed Hatamleh, Ayman Hazaymeh
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Approximatting rings of integers in number fields [PDF]
Journal de théorie des nombres de Bordeaux, 1994 In this paper we study the algorithmic problem of finding the ring of integers of a given algebraic number field. In practice, this problem is often considered to be well-solved, but theoretical results indicate that it is intractable for number fields that are defined by equations with very large coefficients.
Lenstra, H.W., Buchmann, J.A.
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Nondefinability of Rings of Integers in Most Algebraic Fields [PDF]
Notre Dame Journal of Formal Logic, 2021 We show that the set of algebraic extensions $F$ of $\mathbb{Q}$ in which $\mathbb{Z}$ or the ring of integers $\mathcal{O}_F$ are definable is meager in the set of all algebraic extensions.
Philip Dittmann, Arno Fehm
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Bounds for Coding Theory over Rings
Entropy, 2022 Coding theory where the alphabet is identified with the elements of a ring or a module has become an important research topic over the last 30 years. It has been well established that, with the generalization of the algebraic structure to rings, there is
Niklas Gassner +3 more
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On some integral representations of groups and global irreducibility. [PDF]
International Journal of Group Theory, 2018 Arithmetic aspects of integral representations of finite groups and their irreducibility are considered with a focus on globally irreducible representations and their generalizations to arithmetic rings.
Dmitry Malinin
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IEEE Access, 2023 A code over Gaussian or Eisenstein integer residue ring is an additive group of vectors with entries in this integer residue ring which is closed under the action of constant multiplication by the Gaussian or Eisenstein integers. In this paper, we define
Hajime Matsui
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Neutrosophic triplets in some neutrosophic rings
Cumhuriyet Science Journal, 2020 In this paper, some mistakes about the neutrosophic triplets of some neutrosophic rings in the literature are pointed out and corrected. For this purpose, the neutrosophic triplets in neutrosophic rings , and where Z, Q and R denote the ring of ...
Doğukan Ozan, Yilmaz Çeven
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Tripotents: a class of strongly clean elements in rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Periodic elements in a ring generate special classes of strongly clean elements. In particular, elements b such that b = b3+, which are called tripotents and include idempotents, negative of idempotents and order 2 units, are strongly clean.
Călugăreanu Grigore
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On structure of certain periodic rings and near-rings
International Journal of Mathematics and Mathematical Sciences, 2000 The aim of this work is to study a decomposition theorem for rings satisfying either of the properties xy=xpf(xyx)xq or xy=xpf(yxy)xq, where p=p(x,y),q=q(x,y) are nonnegative integers and f(t)∈tℤ[t] vary with the pair of elements x,y, and further ...
Moharram A. Khan
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Analysis of the RSA-cryptosystem in abstract number rings
Журнал Белорусского государственного университета: Математика, информатика, 2020 Quantum computers can be a real threat to some modern cryptosystems (such as the RSA-cryptosystem). The analogue of the RSA-cryptosystem in abstract number rings is not affected by this threat, as there are currently no factorization algorithms using ...
Nikita V. Kondratyonok
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